Sliding Controller Design for the Global Chaos Synchronization of Identical Hyperchaotic Yujun Systems

摘要

This paper establishes new results for the sliding controller design for the global chaos synchronization ofidentical hyperchaotic Yujun systems (2010). Hyperchaotic systems are chaotic nonlinear systems havingmore than one positive Lyapunov exponent. Because of the complex dynamics properties of hyperchaoticsystemsuch as high capacity, high security and high efficiency, theyare very useful in securecommunication devices and data encryption. Using sliding mode control theory and Lyapunov stabilitytheory, a general result has been obtained for the global chaos synchronization ofidenticalchaoticnonlinear systems. As an application of this general result, this paper designs asliding controller for theglobal chaos synchronization of hyperchaotic Yujun systems. Numerical results and simulations are shownto validate the proposed sliding controller design and demonstrate its effectiveness in achieving globalchaos synchronization of hyperchaotic Yujun systems.